Methods of Nonlinear Analysis Applications to Differential Equations /

• Κύριοι συγγραφείς: Drábek, Pavel (Συγγραφέας), Milota, Jaroslav (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Έκδοση: 2nd ed. 2013.
• Σειρά: Birkhäuser Advanced Texts Basler Lehrbücher
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Calculus of variations.; Analysis.; Functional Analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are a...

Πίνακας περιεχομένων:

• Preface
• 1 Preliminaries
• 2 Properties of Linear and Nonlinear Operators
• 3 Abstract Integral and Differential Calculus
• 4 Local Properties of Differentiable Mappings
• 5 Topological and Monotonicity Methods
• 6 Variational Methods
• 7 Boundary Value Problems for Partial Differential Equations
• Summary of Methods
• Typical Applications
• Comparison of Bifurcation Results
• List of Symbols
• Index
• Bibliography.